Suppose $n$ values, $X_1,...,X_n,$ are generated by a random number generator with normal distribution $N(0,1).$ Suppose that the (sample) mean of $X_1,...,X_n$ is $\mu.$ What is known about the order statistics of $X_1,...,X_n$? (Eg. what is the expected value of $Y_c=\#\{i: X_i>c\}$ as an expression in $n,\mu$ and $c.$ If there is no exact formula, then perhaps value of limit of it as $n\to \infty$?)

I would recommend you include some context and motivation in your question. The way you present it, it somehow resembles an excercise or a homework problem. This (mis)conception could explain the poor reception.
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quidJun 7 '14 at 11:25

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Thanks. I edited the question a bit. It is definitely not a hw question. Since $E(Y_c)$ is not continuous function of $\mu,c$ for $n=1$, I am not sure if there is a simple formula for it for $n>1.$
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Adam S SikoraJun 7 '14 at 13:54